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Write five times five times five times five using exponents, then find its value.
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An exponent is a small number placed above and to the right of a base number.
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The exponent refers to how many times the base number is multiplied by itself.
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Our first step is to write five times five times five times five using exponents.
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Remember that our exponent is going to be the number of times that our base is multiplied by itself.
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Here, we’re multiplying five by itself four times.
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Four is our exponent.
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Four is our exponent and five is our base.
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If we multiply five by itself four times, another way to represent that is by saying five to the fourth power.
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We write it, five with an exponent of four.
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Five with an exponent of four.
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This is not the only thing the question is asking us to do.
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The question also asks us to find its value.
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We need to calculate what five to the fourth power is.
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First, I noticed that five times five is twenty-five, and I’ve two groups of that.
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Now I need to calculate twenty-five times twenty-five.
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Here is one way we can try to solve this problem mentally.
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We can break twenty-five times twenty-five into two groups.
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First, we’ll calculate twenty-five times twenty, and then we’ll calculate twenty-five times five.
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I know that twenty-five times four equals one hundred.
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I also know that twenty equals four times five.
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Twenty-five times twenty equals five hundred.
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Twenty-five times five is the next piece we need to solve.
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I easily recognized that twenty-five times four is one hundred.
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This means that twenty-five times five is going to be one hundred and twenty-five.
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The only thing left to do is to add five hundred and one hundred and twenty-five.
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Twenty-five times twenty-five equals six hundred and twenty-five.
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Five to the fourth power equals six hundred and twenty-five.